x+24=7x-30

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Solution for x+24=7x-30 equation:


Simplifying
x + 24 = 7x + -30

Reorder the terms:
24 + x = 7x + -30

Reorder the terms:
24 + x = -30 + 7x

Solving
24 + x = -30 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
24 + x + -7x = -30 + 7x + -7x

Combine like terms: x + -7x = -6x
24 + -6x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -6x = -30 + 0
24 + -6x = -30

Add '-24' to each side of the equation.
24 + -24 + -6x = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -30 + -24
-6x = -30 + -24

Combine like terms: -30 + -24 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9

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